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Finding the Fourth Proportional to 9,644.96, 14,467.28 and 3,071.06

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Solution

The fourth proportional to 9,644.96, 14,467.28 and 3,071.06 is: 4,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.96 : 14,467.28 = 3,071.06 : x
  2. Step 2: Convert to fraction form
    9,644.96/14,467.28 = 3,071.06/x
  3. Step 3: Cross multiply
    9,644.96x = 14,467.28 × 3,071.06
  4. Step 4: Simplify right side
    9,644.96x = 44,429,797.23
  5. Step 5: Solve for x
    x = 44,429,797.23/9,644.96
  6. Step 6: Final answer
    x = 4,606.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.